THE DREAM-CONSCIOUS STATE: A PERSONAL JOURNAL OF INNER EXPLORATION
Bruce G. MarcotJOURNALS -- PART TWO (1986-present)
You're Entering A World of Things and Ideas...
I've long enjoyed mathematics and geometry, particularly higher-dimensional math. Since high school I've cultivated the ability to picture 4-dimensional geometric objects and to see them rotating in 4-D space. In high school I even made an animation movie of a tesseract (4-D cube) rotating in 4 dimensions and then unfolding into 3 dimensions. I took a senior course in analytic geometry when I was a junior, was bored by it, and rewrote the textbook along the lines of 4-dimensional mathematics, which I termed "quadroid" (I think I even have a few sketches of frames from my unfolding-cube movie, and remnant notes of that textbook-rewrite among my papers somewhere). It turned out, years later when I discovered and read real academic texts on the subject, that my intuitive geometric perspectives were actually right on.
And this intuition also invaded some of my dreams -- typically very vivid, and a few lucid. And very weird.
I recall one dream many years ago (and another very similar one more recently) in which I was able to twist my body through a 4th-dimensional axis and slide through a 4th spatial dimension, appearing to float through walls. Actually, the mathematics -- simple 4-dimensional Euclidean extrapolations of 3-space geometry -- confirm that this would be entirely correct. Just as one can "enter" a 2-dimensional square drawn on a paper, by "floating" down into it from above in 3-space, without crossing any of the edges, one could theoretically enter a 3-dimensional cube such as a room in a building by sliding into it from 4-space, without crossing or breaking any of the walls (or floor or ceiling).
And so in this dream I was able to spy on people and slide from room to room of this building by edging along in some misty and shadowy 4-space. It was a remarkable feeling in the dream as if my body was indeed bent through another dimension. And that I had complete control.
I've had a couple other dreams like this since, each time being able to transport myself as if along another, unseen axis of (4-)space. And no, it definitely does not feel like the flying dreams or "astral projection" or out-of-body experiences.